138120758558720

Names of 138120758558720

• Cardinal: 138120758558720 can be written as One hundred thirty-eight trillion, one hundred twenty billion, seven hundred fifty-eight million, five hundred fifty-eight thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3812075855872 × 10¹⁴

Factors of 138120758558720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 541

Divisors of 138120758558720

• Number of divisors d(n): 736
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 59 64 70 74 80 112 118 128 140 148 160 185 224 236 256 259 280 295 296 320 370 413 431 448 472 512 518 560 590 592 640 740 826 862 896 944 1024 1036 1120 1180 1184 1280 1295 1480 1652 1724 1792 1888 2048 2065 2072 2155 2183 2240 2360 2368 2560 2590 2960 3017 3304 3448 3584 3776 4096 4130 4144 4310 4366 4480 4720 4736 5120 5180 5920 6034 6608 6896 7168 7552 8192 8260 8288 8620 8732 8960 9440 9472 10240 10360 10915 11840 12068 13216 13792 14336 15085 15104 15281 15947 16384 16520 16576 17240 17464 17920 18880 18944 20480 20720 21830 23680 24136 25429 26432 27584 28672 30170 30208 30562 31894 32768 33040 33152 34480 34928 35840 37760 37888 40960 41440 43660 47360 48272 50858 52864 55168 57344 60340 60416 61124 63788 65536 66080 66304 68960 69856 71680 75520 75776 76405 79735 81920 82880 87320 94720 96544 101716 105728 110336 111629 114688 120680 120832 122248 127145 127576 131072 132160 132608 137920 139712 143360 151040 151552 152810 159470 163840 165760 174640 178003 189440 193088 203432 211456 220672 223258 229376 241360 241664 244496 254290 255152 262144 264320 265216 275840 279424 286720 302080 303104 305620 318940 327680 331520 349280 356006 378880 386176 406864 422912 441344 446516 458752 482720 483328 488992 508580 510304 524288 528640 530432 551680 558145 558848 573440 604160 606208 611240 637880 655360 663040 698560 712012 757760 772352 813728 845824 882688 890015 893032 917504 940873 965440 966656 977984 1017160 1020608 1048576 1057280 1060864 1103360 1116290 1117696 1146880 1208320 1212416 1222480 1275760 1310720 1326080 1397120 1424024 1515520 1544704 1627456 1691648 1765376 1780030 1786064 1835008 1881746 1930880 1933312 1955968 2034320 2041216 2097152 2114560 2121728 2206720 2232580 2235392 2293760 2416640 2424832 2444960 2551520 2621440 2652160 2794240 2848048 3031040 3089408 3254912 3383296 3530752 3560060 3572128 3670016 3763492 3861760 3866624 3911936 4068640 4082432 4194304 4229120 4243456 4413440 4465160 4470784 4587520 4704365 4833280 4849664 4889920 5103040 5242880 5304320 5588480 5696096 6062080 6178816 6509824 6586111 6766592 7061504 7120120 7144256 7340032 7526984 7723520 7733248 7823872 8137280 8164864 8458240 8486912 8826880 8930320 8941568 9175040 9408730 9666560 9699328 9779840 10206080 10485760 10608640 11176960 11392192 12124160 12357632 13019648 13172222 13533184 14123008 14240240 14288512 14680064 15053968 15447040 15466496 15647744 16274560 16329728 16916480 16973824 17653760 17860640 17883136 18350080 18817460 19333120 19398656 19559680 20412160 20971520 21217280 22353920 22784384 24248320 24715264 26039296 26344444 27066368 28246016 28480480 28577024 29360128 30107936 30894080 30932992 31295488 32549120 32659456 32930555 33832960 33947648 35307520 35721280 35766272 36700160 37634920 38666240 38797312 39119360 40824320 42434560 44707840 45568768 48496640 49430528 52078592 52688888 54132736 56492032 56960960 57154048 60215872 61788160 61865984 62590976 65098240 65318912 65861110 67665920 67895296 70615040 71442560 71532544 73400320 75269840 77332480 77594624 78238720 81648640 84869120 89415680 91137536 96993280 98861056 104157184 105377776 108265472 112984064 113921920 114308096 120431744 123576320 123731968 125181952 130196480 130637824 131722220 135331840 135790592 141230080 142885120 143065088 146800640 150539680 154664960 155189248 156477440 163297280 169738240 178831360 182275072 193986560 197722112 208314368 210755552 216530944 225968128 227843840 228616192 240863488 247152640 247463936 250363904 260392960 261275648 263444440 270663680 271581184 282460160 285770240 286130176 301079360 309329920 312954880 326594560 339476480 357662720 364550144 387973120 395444224 416628736 421511104 433061888 451936256 455687680 457232384 481726976 494305280 500727808 520785920 522551296 526888880 541327360 543162368 564920320 571540480 572260352 602158720 618659840 625909760 653189120 678952960 715325440 729100288 775946240 790888448 833257472 843022208 866123776 903872512 911375360 914464768 963453952 988610560 1001455616 1041571840 1045102592 1053777760 1082654720 1086324736 1129840640 1143080960 1144520704 1204317440 1237319680 1251819520 1306378240 1357905920 1430650880 1458200576 1581776896 1666514944 1686044416 1732247552 1807745024 1822750720 1828929536 1926907904 1977221120 2002911232 2083143680 2090205184 2107555520 2165309440 2259681280 2286161920 2289041408 2408634880 2503639040 2612756480 2715811840 2861301760 2916401152 3163553792 3333029888 3372088832 3645501440 3657859072 3853815808 3954442240 4005822464 4166287360 4180410368 4215111040 4330618880 4519362560 4572323840 4578082816 4817269760 5007278080 5225512960 5431623680 5722603520 5832802304 6327107584 6666059776 6744177664 7291002880 7315718144 7707631616 7908884480 8011644928 8332574720 8360820736 8430222080 8661237760 9038725120 9144647680 9156165632 9634539520 10014556160 10451025920 11445207040 11665604608 12654215168 13332119552 13488355328 14582005760 14631436288 15415263232 15817768960 16023289856 16665149440 16721641472 16860444160 18289295360 19269079040 20029112320 20902051840 22890414080 23331209216 26664239104 26976710656 29164011520 29262872576 30830526464 31635537920 32046579712 33330298880 33443282944 33720888320 36578590720 38538158080 40058224640 41804103680 45780828160 46662418432 53328478208 53953421312 58328023040 58525745152 61661052928 63271075840 64093159424 66660597760 66886565888 67441776640 73157181440 77076316160 80116449280 83608207360 93324836864 106656956416 107906842624 116656046080 117051490304 123322105856 133321195520 134883553280 146314362880 154152632320 160232898560 167216414720 186649673728 215813685248 233312092160 234102980608 246644211712 266642391040 269767106560 292628725760 308305264640 320465797120 334432829440 373299347456 431627370496 466624184320 468205961216 493288423424 533284782080 539534213120 585257451520 616610529280 746598694912 863254740992 933248368640 986576846848 1079068426240 1170514903040 1233221058560 1726509481984 1866496737280 1973153693696 2158136852480 2341029806080 2466442117120 3453018963968 3732993474560 3946307387392 4316273704960 4932884234240 6906037927936 8632547409920 9865768468480 13812075855872 17265094819840 19731536936960 27624151711744 34530189639680 69060379279360 138120758558720
• Sum of all divisors σ(n): 396597232834560
• Sum of proper divisors (its aliquot sum) s(n): 258476474275840
• 138120758558720 is an abundant number, because the sum of its proper divisors (258476474275840) is greater than itself. Its abundance is 120355715717120

Bases of 138120758558720

• Binary: 11111011001111010111110110000000000000000000000₂
• Hexadecimal: 0x7D9EBEC00000
• Base-36: 1CYJSTH1Q8

Squares and roots of 138120758558720

• 138120758558720 squared (138120758558720²) is 19077343944836224131688038400
• 138120758558720 cubed (138120758558720³) is 2634977216946383071785538830197848014848000
• The square root of 138120758558720 is 11752478.8261336595
• The cube root of 138120758558720 is 51691.5615076985

Scales and comparisons

• 138,120,758,558,720 seconds is equal to 4,391,812 years, 46 weeks, 17 hours, 25 minutes, 20 seconds.
• To count from 1 to 138,120,758,558,720 would take you about ten million, nine hundred seventy-nine thousand, five hundred thirty-two years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 138120758558720 cubic inches would be around 4307.6 feet tall.

Recreational maths with 138120758558720

• 138120758558720 backwards is 027855857021831
• The number of decimal digits it has is: 15
• The sum of 138120758558720's digits is 62
• More coming soon!